Question

Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of one-half ?

3 in by 4 in
6 in by 8 in
12 in by 16 in
1.5 in by 2 in

Answer 1

Answer: 3 in by 4 in

Step-by-step explanation:

6 in / 8 in ----->| 6 divided by 2= 3 | | 8 divided by 2=4 |

1 in / 2 in

----------------

3 in / 4 in

Answer 2

The are of the photo using the given data is 48 square inches. Therefore if we are to re-scale it by 1/2, the new area should be 48(1/2) or 24 square inches.
By distributive property, the factor 1/2 is also applicable to both length and width, thus 6(1/2) in by 8 (1/2) in is also equivalent to 3 in by 4 in. Therefore, the new dimensions of the photo when rescaled by half is 3 in by 4 in.